Calculate Heat loss without k (thermal constant)

In summary, the formula for calculating heat loss without k is Q = m * c * ΔT, where Q is the heat loss, m is the mass of the object, c is the specific heat capacity, and ΔT is the change in temperature. The specific heat capacity (c) can be calculated by dividing the heat lost (Q) by the mass of the object (m) and the change in temperature (ΔT), represented as c = Q / (m * ΔT). It is possible to calculate heat loss without knowing the thermal constant (k) by using the formula Q = m * c * ΔT, where c is the specific heat capacity and k is not used. The units for heat loss calculations depend
  • #1
omer10000
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Homework Statement



An 16m by 9.0m house is built on a concrete slab 20cm thick. What is the heat-loss rate through the floor if the interior is at 29°C while the ground is at 19°C?

Given:

Area = 16*9 = 144m^2
DeltaX = 20cm = 0.2m
DeltaT = 29-19 = 10°C

k = not given

H = ?

Homework Equations



Equation (i believe): H = (-k*A*DeltaT)/DeltaX

The Attempt at a Solution



I calculated the heat loss with the above given details but apparently the answer does not depend on the variable k (thermal conductivity).

Anyone got any ideas?
 
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  • #2
The answer is 5.76 kW/m2.No, the answer does not depend on the thermal conductivity (k). What you need to do is calculate the total heat loss from the floor, which is given by H = (-A*DeltaT)/DeltaX, where A is the area of the floor, DeltaT is the temperature difference between the interior and the ground, and DeltaX is the thickness of the floor. Once you have calculated the total heat loss, you can divide it by the area of the floor to get the heat-loss rate per unit area.
 

What is the formula for calculating heat loss without k?

The formula for calculating heat loss without k (thermal constant) is Q = m * c * ΔT, where Q is the heat loss, m is the mass of the object, c is the specific heat capacity, and ΔT is the change in temperature.

How do I calculate the specific heat capacity?

The specific heat capacity (c) can be calculated by dividing the heat lost (Q) by the mass of the object (m) and the change in temperature (ΔT). This can be represented as c = Q / (m * ΔT).

Can I calculate heat loss without knowing the thermal constant?

Yes, it is possible to calculate heat loss without knowing the thermal constant (k). This can be done by using the formula Q = m * c * ΔT, where c is the specific heat capacity and k is not used.

What units are used for heat loss calculations?

The units for heat loss calculations depend on the unit used for mass, specific heat capacity, and temperature. Generally, mass is measured in kilograms (kg), specific heat capacity is measured in joules per kilogram per degree Celsius (J/kg°C), and temperature is measured in degrees Celsius (°C). Therefore, the unit for heat loss is usually joules (J).

Can heat loss calculations be used for different types of materials?

Yes, heat loss calculations can be used for different types of materials as long as the mass, specific heat capacity, and change in temperature are known. However, the specific heat capacity may vary for different materials, so it is important to use the correct value for accurate calculations.

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